Find the difference between the two groups when using a dependent t-test then find the independent two-sample t-test

data =

X1= 14, 8, 6, 14, 20, 13, 9, 12

x2= 13, 4, 1, 8, 10, 12, 8, 6

1. Find the difference between the two groups when using a dependent t-test then find the independent two-sample t-test, and compare the results with those from the dependent t-test

Solutions

Expert Solution

We can use excel to apply the dependent t-test.

The excel output is:

The test statistic is 3.76 and the p-value is 0.0071. Since the p-value is less than 0.05, we, therefore, can conclude that there exists a significant difference between x1 and x2

We can use excel to apply the independent two-sample t-test.

The excel output is:

The test statistic is 2.02 and the p-value is 0.0628. Since the p-value is greater than 0.05, we, therefore, can conclude that there exists an insignificant difference between x1 and x2

Therefore, we can see the results using the dependent t-test turned out to be significant while the results using the independent two-sample t-test are insignificant.

orchestra answered 1 year ago

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